A Tighter Correlation Lower Bound for Quasi-Complementary Sequence Sets with Low Correlation Zone

Abstract

Inspired by Levenshtein’s idea, we introduce the low correlation zone to the weighted mean square aperiodic correlation. Then we derive a lower bound for quasi-complementary sequence sets with low correlation zone (LCZ-QCSS). We discuss the conditions of tightness for the proposed bound. It turns out that the proposed bound is tighter than Liu-Guan-Ng-Chen bound for LCZ-QCSS under some conditions.